Soft materials can display heterogeneous physical structure at the meso-scale, which can constrain mechanical stability and acoustic transmission. The need to understand such bulk properties
motivates the development of novel methods for quantitatively identifying and characterizing this meso-scale architecture. I will describe a new set of tools built on the principles of network science
to identify meso-scale architecture in soft materials, characterize their topology and shape, and track their reconfiguration during compaction.

The massive neutrino background makes up a component of the dark matter,
and as such affects the growth of large-scale structure, such as galaxy
clusters. This affords us an opportunity to measure the neutrino mass.
However, to do this we must accurately and efficiently characterize how
neutrinos affect structure growth. I will describe a new method for
including massive neutrinos in N-body simulations which is uniquely
accurate in the limit of small neutrino masses, and incurs no cost above
that of the N-body simulation.

In many biological and optically-active materials, fundamental energy
and charge transfer mechanisms occur at the molecular level. Individual
molecules, however, are challenging to observe directly due to their
small size, rapid fluctuations and complex interactions with their
environment. My research focuses on the design and application of
electronic single-molecule sensors, which are miniature electrical
circuits capable to capture and probe individual molecules.

A convergence of high bandwidth radio instrumentation and Global mm and
submm wavelength facilities are enabling assembly of the Event Horizon
Telescope (EHT): a short-wavelength Very Long Baseline Interferometry

Directed assembly of nanoparticles is a promising
alternative for original nanoparticle organizations. New kinds of optical
properties are expected when semi-conductive or metallic nanoparticles are concerned. Using liquid crystal matrices oriented by
their interfaces, it is possible to induce anisotropic nanoparticle
organizations. We can then investigate the influence of these matrices on the
optical properties of the nanoparticles.

Meaningful advances in energy
generation, utilization, or storage require exquisite control and optimization
of the transport properties of materials far-from-thermal-equilibrium. Whether concerned with ion-transport through a
battery, or molecule extraction through porous rock, or transporting granular
matter, a central issue is that of designing materials and flow geometries that
give use spatiotemporal control of the mobility of interacting particles.

Topological superconductors are a distinct form of matter that is predicted to host boundary Majorana fermions. The search for Majorana quasi-particles in condensed matter systems is motivated in part by their potential use as topological qubits to perform fault-tolerant computation aided by their non-Abelian characteristics. Recently, we have proposed a new patform for the realization of Majorana fermions in condensed matter, based on chains of magnetic atoms on the surface of a superconductor.